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2012-05-22
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请问一下高手,请问怎样用多个指标比较两种手术方式结果的好与差:
   我有100个病人,29个病人用A手术方式,71个用B手术方式,结果我用x1,x2,x3,x4,x5,x6,x7,x8指标反应每个病人手术后(不管是采用A方式还是采用B方式)的情况,现在我想知道:1.用怎样的统计方法进行统计;2.怎样用SAS程序比较出A与B哪一种手术方式好。3.可以用主成份分析或topsis分析解决我的问题吗?假设数据在附件中: (假设数值越大手术效果越好),谢谢各位高手了!!

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nkunku 查看完整内容

如果看中文文献,CNKI上关于TOPSIS的就太多了。附件中有一篇文献给出了SAS宏。
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2012-5-22 00:50:59
如果看中文文献,CNKI上关于TOPSIS的就太多了。附件中有一篇文献给出了SAS宏
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2012-5-22 01:40:35
TOPSIS sounds more proper here.

The idea of TOPSIS can be expressed in a series of steps.
(1) Obtain performance data for n alternatives over k criteria. Raw measurements are usually standardized, converting raw measures xij into standardized measures sij .
(2) Develop a set of importance weights wk, for each of the criteria. The basis for these weights can be anything, but, usually, is ad hoc re°ective of relative importance. Scale is not an issue if standardizing was accomplished in Step 1.
(3) Identify the ideal alternative (extreme performance on each criterion) s+;
(4) Identify the nadir alternative (reverse extreme performance on each criterion) s-;
(5) Develop a distance measure over each criterion to both ideal (D+) and nadir (D-).
(6) For each alternative, determine a ratio R equal to the distance to the nadir divided by the sum of the distance to the nadir and the distance to the ideal, R = D-/(D+ + D-)
(7) Rank order alternatives by maximizing the ratio in Step 6.

Thus, TOPSIS minimizes the distance to the ideal alternative while maximizing the distance to the nadir. There are a number of specific procedures that can be used for Step 2 (developing weights), and for Step 5 (distance measures). Additionally, different conventions can be applied to defining best performance (Step 3) and worst performance (Step 4).
A number of distance metrics can be applied. Traditional TOPSIS applied the Euclidean norm (minimization of square root of the sum of squared distances) to ideal and nadir solutions, a second power metric (P2). TOPSIS2 is a variant where distance was measured in least absolute value terms, a first power metric (P1). Another commonly used metric is the Tchebychev metric, where the minimum maximum difference is the basis for selection. This coincides with an infinite power-term (P1).
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2012-5-22 01:56:54
Thanks a lot! I need some time to understand your opinions。
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2012-5-22 06:12:28
这个问题我看着也很兴趣。期待楼主搞定了,再分享与我们
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2012-5-22 08:38:18
给你找来一些参考书
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